Explain the Lean theorem `defect_floor_exceeds_any_bound` in module `IndisputableMonolith.NumberTheory.CarrierBudgetComparison`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

The supplied canon source contains eight Lean modules (AlexanderDuality, LanglandsFromRecognitionCost, RealityFromDistinction, SingleAnchor, RecognitionBandGeometry, RecognitionBandwidth, RecognitionForcing, ConstructiveNote) but does not contain the module IndisputableMonolith.NumberTheory.CarrierBudgetComparison or any declaration named defect_floor_exceeds_any_bound. No theorem or definition matching the requested name appears verbatim in any of the provided source files. The question therefore lies outside the supplied canon slice. The primer notes that Recognition Science derives constants and structure from a forcing chain (T-1 through T-8) and cost uniqueness (washburn_uniqueness_aczel), but the specific carrier-budget comparison and defect-floor result are not formalized here.